PROCEEDINGS IPMU '08

Measuring contradiction regarding a negation on AIFS

S. Cubillo, E. Castiñeira, C. Torres-Blanc.

In [5], an axiomatic model for contradiction
measures on Atanassov
Intuitionistic fuzzy sets was presented;
there, different kinds of those
measures, depending on the continuity
conditions required, were established.
But in previous papers (see
[4]), not only the contradiction in
general, but also the contradiction
with respect to a given strong intuitionistic
fuzzy negation were studied.
This is due to the fact that in
some applications, in order to fix a
suitable model, not any negation is
valid, but it is necessary to use a
particular one. Thus, the problem
of the axiomatization of the different
types of contradiction measures
regarding a given strong negation remained
open. This is the main aim
of the present work.

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